In a sample of individuals from the population of humans in Louisiana the follow
ID: 11703 • Letter: I
Question
In a sample of individuals from the population of humans in Louisiana the following blood-type frequencies are observed: A = 0.53, B = 0.13, O = 0.26. What are the allele frequencies for the blood types, genotype frequencies, and phenotype frequencies in this sample population?So far I've come up with: A = 0.576 / B = 0.141 / O = 0.283. I'm confused about how to determine the allele frequencies because these are A,B,O format and not, for instance, TT, Tt, tt. Do I still multiply the A and B blood-type frequencies by 2 because AB is possible? What about O?
Explanation / Answer
GENOTYPES and ALLELES
A=P
B=q
O=r
A=IA IA , + IAIO = p2 + 2pr
B=IBIB, + IBIO = q2 +2qr
0=I0I0= r2
the following blood-type frequencies are observed: A = 0.53, B = 0.13, O = 0.26.
FREQUENCY OF O GROUP = 0.26.
O=r
Square root of 0.26 = 0.50
Considering A,O ALLELES
A=IA IA , + IAIO = p2 + 2pr
FREQUENCY OF A GROUP = 0.53,
FREQUENCY O ALLEEL------ 0.5
(P+r)2 = p2 + 2pr+ r2=0.79
(P+r)2 =0.79
(P+r) =square root of 0.79 =0.89
P=0.89-r=0.89-0.5= 0.38
R=0.5
P=0.38
P+q+r=1
q=1-p-q= 1 --0.5-3.8=
q=0.11
allele frequencies
r=0.5
P=0.38
q=0.11
A ------GROUP --- 0.38 x0.38=0.144-----------genotype A=IA IA
B--------0.11x0.11=0.121------------genotype B=IBIB
O------------- 0.5 x.5= 0.25 ----------------------genotype 0=I0I0
A0 ------GROUP --- 0.38x0.5= 0.19-----------genotype A=IA I0
B0 ------GROUP --- 0.11x0.5= 0.055-----------genotype A=IB I0
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